What is the Greatest Common Factor of 21525 and 21540?

Greatest common factor (GCF) of 21525 and 21540 is 15.

GCF(21525,21540) = 15

We will now calculate the prime factors of 21525 and 21540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21525 and 21540.

How to find the GCF of 21525 and 21540?

We will first find the prime factorization of 21525 and 21540. After we will calculate the factors of 21525 and 21540 and find the biggest common factor number .

Step-1: Prime Factorization of 21525

Prime factors of 21525 are 3, 5, 7, 41. Prime factorization of 21525 in exponential form is:

21525 = 3¹ × 5² × 7¹ × 41¹

Step-2: Prime Factorization of 21540

Prime factors of 21540 are 2, 3, 5, 359. Prime factorization of 21540 in exponential form is:

21540 = 2² × 3¹ × 5¹ × 359¹

Step-3: Factors of 21525

List of positive integer factors of 21525 that divides 21525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 41, 75, 105, 123, 175, 205, 287, 525, 615, 861, 1025, 1435, 3075, 4305, 7175

Step-4: Factors of 21540

List of positive integer factors of 21540 that divides 21525 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 359, 718, 1077, 1436, 1795, 2154, 3590, 4308, 5385, 7180, 10770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21525 and 21540. The biggest common factor number is the GCF number.
So the greatest common factor 21525 and 21540 is 15.

Also check out the Least Common Multiple of 21525 and 21540